Question

A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?

• A. \( 5 \, \text{m/s}^2 \)
• B. \(2.5 \, \text{m/s}^2 \)
• C. \( 10 \, \text{m/s}^2 \)
• D. \( 15 \, \text{m/s}^2 \)

Hint:

Remember: The equation \( v = u + at \) is useful for uniformly accelerated motion, especially when the initial velocity is zero.

Answer 1

The Correct Option is B

Calculate the Acceleration of the Car

We are given the following data:

• Initial velocity (\( v_0 \)) = 0 m/s (the car starts from rest)
• Final velocity (\( v_f \)) = 25 m/s
• Time (\( t \)) = 10 seconds

Step 1: Calculate the change in velocity

\[ \Delta v = v_f - v_0 = 25 \, \text{m/s} - 0 \, \text{m/s} = 25 \, \text{m/s} \]

Step 2: Substitute into the formula for acceleration

\[ a = \frac{25 \, \text{m/s}}{10 \, \text{s}} = 2.5 \, \text{m/s}^2 \]

Conclusion:

The acceleration of the car is \( 2.5 \, \text{m/s}^2 \).

The correct answer is:

Option 2: 2.5 m/s²